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Finding the Fourth Proportional to 185.13, 277.68 and 76.83

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Solution

The fourth proportional to 185.13, 277.68 and 76.83 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 277.68 = 76.83 : x
  2. Step 2: Convert to fraction form
    185.13/277.68 = 76.83/x
  3. Step 3: Cross multiply
    185.13x = 277.68 × 76.83
  4. Step 4: Simplify right side
    185.13x = 21,334.15
  5. Step 5: Solve for x
    x = 21,334.15/185.13
  6. Step 6: Final answer
    x = 115.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.